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2x + y years ago, Roberto was 3x + y years old. How many years old was

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Math Expert
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Joined: 02 Sep 2009
Posts: 50714
2x + y years ago, Roberto was 3x + y years old. How many years old was  [#permalink]

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New post 17 Oct 2018, 01:52
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

84% (00:45) correct 16% (00:41) wrong based on 37 sessions

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Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
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Re: 2x + y years ago, Roberto was 3x + y years old. How many years old was  [#permalink]

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New post 17 Oct 2018, 02:19
Bunuel wrote:
2x + y years ago, Roberto was 3x + y years old. How many years old was Roberto x years ago?

A. x
B. 4x + 2y
C. 5x + 2y
D. 6x + 2y
E. 6x + y


2x + y years ago, Roberto was 3x + y years old, so today he will be (3x+y) + 2x+y = 5x + 2y years old.

So, x years ago from today, Roberto was (5x+2y) - x = 4x + 2y years old.

Hence Option (B) is our choice.

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GLadi
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Re: 2x + y years ago, Roberto was 3x + y years old. How many years old was  [#permalink]

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New post 17 Oct 2018, 02:58
1
The solution can be best demonstrated in a table.

If he was 3x+y years old, 2x+y years ago.

The now he will be \(3x + y + 2x + y = 5x + 2y\)

X years ago is basically 5x + 2y - x = 4x + 2y

Answer choice B
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Re: 2x + y years ago, Roberto was 3x + y years old. How many years old was  [#permalink]

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New post 31 Oct 2018, 19:25
Bunuel wrote:
2x + y years ago, Roberto was 3x + y years old. How many years old was Roberto x years ago?

A. x
B. 4x + 2y
C. 5x + 2y
D. 6x + 2y
E. 6x + y



Before 2x + y years ago:

3x + y

Now, 2x + y years after


3x + y + 2x + y

= 5x + 2y

Now, x years ago

5x + 2y -x

= 4x + 2y.


B is the correct answer.
GMAT Club Bot
Re: 2x + y years ago, Roberto was 3x + y years old. How many years old was &nbs [#permalink] 31 Oct 2018, 19:25
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